Scaling limit and aging for directed trap models

Olivier Zindy (1)

1 WIAS - Weierstraß-Institut für Angewandte Analysis und Stochastik = Weierstrass Institute for Applied Analysis and Stochastics [Berlin]

We consider one-dimensional directed trap models and suppose that the trapping times are heavy-tailed. We obtain the inverse of a stable subordinator as scaling limit and prove an aging phenomenon expressed in terms of the generalized arcsine law. These results confirm the status of universality described by Ben Arous and \v Cerný for a large class of graphs.

Mots clés: directed trap model; random walk; scaling limit; subordinator; aging

Domaines: Probabilités [math.PR]

Olivier Zindy. Scaling limit and aging for directed trap models. Markov Processes And Related Fields, 2009, 15, pp.31-50. ⟨hal-00196381v3⟩